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Finding the Fourth Proportional to 559.30, 771.61 and 323.20

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Solution

The fourth proportional to 559.30, 771.61 and 323.20 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.30 : 771.61 = 323.20 : x
  2. Step 2: Convert to fraction form
    559.30/771.61 = 323.20/x
  3. Step 3: Cross multiply
    559.30x = 771.61 × 323.20
  4. Step 4: Simplify right side
    559.30x = 249,382.74
  5. Step 5: Solve for x
    x = 249,382.74/559.30
  6. Step 6: Final answer
    x = 445.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.